It is proposed to characterize the damage suffered by a material subjected to a long-time constant or variable load by a certain function on a sphere. This function may give the magnitude and direction of the damage at the point in question. The spherical function is a functional of the stresses calculated in the corresponding local coordinate system. It is assumed that failure occurs when the invariant local fracture characteristics reach a certain critical value. The proposed approach is compared with the tensor variant. The possibility of taking the effect of complex loading into account is discussed.
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Tamuzh, V.P., Lagzdyn'sh, A.Z. A variant of the phenomenological theory of fracture. Polymer Mechanics 4, 493–500 (1968). https://doi.org/10.1007/BF00855760
- Coordinate System
- Local Coordinate System
- Fracture Characteristic
- Variable Load
- Spherical Function